Chapter 7 - Polynomial Equations and Factoring - 7.4 - Solving Polynomial Equations in Factored Form - Exercises - Page 381: 29

$n^5(5n+2)$.

The given expression is $=5n^6+2n^5$ The GCF of $5$ and $2$ is $1$. The GCF of $n^6$ and $n^5$ is $n^5$. So, the greatest common monomial factor of the terms is $n^5$. Hence, the factor form is $n^5(5n+2)$.